Requiem is a really well done story. The character work is handled exceptionally well. A classic.. though I am thankful it is out of continuity.
As for classic stories...
That is sort of hard. He is more about the character than the story. I have always felt that in the 60s that series was sort of the Vertigo of its day.
I'm not sure I could rattle off stuff like say... the Phoenix Saga for X-Men or Kraven's Last Hunt for Spider-Man. You know, things that everyone will love.
I can say the stories I find very memorable:
-The first six issues of the original series may be some of the best comics of the Silver Age. My personal favorites are issues #3 and 5
- The Lee Kirby Graphic Novel.
-The Judgement Day Graphic Novel
-The story in Epic #1.
-Silver Surfer: Parable
-There was a MArvel Fanfare that had the original plans for Englehart's run
-Englehart's run is really good. It is also fairly cohesive flow, if I remember. I love them all, he really brought his A-game. His dealing with the Kree-Skrull war, is about as close as you may get to a "classic" story.
-His dealings with Thanos are probably the most well remembered. Leading into Infinity Gauntlet and all, and it is well done. Probably the most reprinted. It stresses the humanity of the Surfer in the face of nihilism
-Issues #97-100, a look at Surfer in the face of temptation. I always felt there were shades of the Phoenix tales in it, myself.
-The story in the early 100s where he faces trial for aiding Galactus, might be the kind of thing you mean
-Dematteis run is pretty goo, even if he hd to spend time cleaning up Perez weird Zenn-La retcon (which may have been kicked down from above). The idea of the idea of him being used for messianic purposes seems pretty "classic" to me.
NOT DAN SLOTT'S RUN. Maybe the worst run I have ever read.
My favorites were:
-The Englehart/Rogers Surfer run! The best!
-The Surfer in the Lee/Kirby FF's!
-FF #155-157! Doom and the Surfer! I loved this story!
-Hulk #250! Another great story!
-Englehart/Lim was also great!
-Starlin/Lim was fantastic!
-The Lee/Byrne one shot is excellent!
-The Lee/Buscema series #1-5! #4 is one of my favorite comics ever!
-Silver Surfer: Homecoming!
-The Slott/Allred run!
This is a lot of great Silver Surfer stories!